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Free gravitational force calculator using Newton's law of universal gravitation. Calculate gravitational force between two masses with physics analysis. Our calculator applies the fundamental gravity equation F = G × m₁ × m₂ / r² to determine gravitational attraction between any two objects in the universe.
Last updated: February 2, 2026
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Gravitational Force
83428.75 pN
(8.343e-8 N)
Force Analysis:
Gravitational force calculated using Newton's law of universal gravitation
Comparison:
Force magnitude varies with mass and distance according to inverse square law
Newton's Law of Universal Gravitation:
F = G × m₁ × m₂ / r²
• G = 6.674 × 10⁻¹¹ m³ kg⁻¹ s⁻² (gravitational constant)
• F = gravitational force (Newtons)
• m₁, m₂ = masses of the two objects (kg)
• r = distance between centers of mass (m)
Formula
F = G × m₁ × m₂ / r²
Applies to all masses in the universe from particles to galaxies
Applications
Orbits, Tides, Satellites
Essential for space missions and astronomical calculations
G value
6.674 × 10⁻¹¹ m³ kg⁻¹ s⁻²
Universal constant determining gravitational strength
Relationship
F ∝ m₁m₂ / r²
Force increases with mass, decreases with distance squared
Field strength
g = GM / r²
Gravitational acceleration at any point in space
Weight formula
W = mg
Weight is gravitational force, mass is amount of matter
For masses of 100 kg and 50 kg separated by 2 meters:
Gravitational Force
83428.75 pN
(8.343e-8 N)
Our gravitational force calculator applies Newton's law of universal gravitation to determine the attractive force between any two masses. The calculation uses the fundamental physics equationF = G × m₁ × m₂ / r² with automatic unit conversions and scientific notation formatting.
F = G × m₁ × m₂ / r²Where:
Constants:
Shows attractive force between two masses with inverse square relationship
Gravitational force is one of the four fundamental forces in nature. It's always attractive, acts instantaneously over infinite distances, and is proportional to mass while following an inverse square law with distance. This makes gravity unique among the fundamental forces.
Need help with other physics calculations? Check out our free fall calculator and kinetic energy calculator.
Get Custom Calculator for Your PlatformResult: F ≈ 1.98 × 10²⁰ N
This enormous force keeps the Moon in orbit around Earth and causes ocean tides.
Two 1 kg masses separated by 1 meter
F = 6.674 × 10⁻¹¹ N (extremely weak)
Sun-Earth gravitational force
F ≈ 3.52 × 10²² N (keeps Earth in orbit)
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